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Finding the Fourth Proportional to 500,452.83, 750,523.94 and 180,563.12

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Solution

The fourth proportional to 500,452.83, 750,523.94 and 180,563.12 is: 270,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,452.83 : 750,523.94 = 180,563.12 : x
  2. Step 2: Convert to fraction form
    500,452.83/750,523.94 = 180,563.12/x
  3. Step 3: Cross multiply
    500,452.83x = 750,523.94 × 180,563.12
  4. Step 4: Simplify right side
    500,452.83x = 135,516,943,705.14
  5. Step 5: Solve for x
    x = 135,516,943,705.14/500,452.83
  6. Step 6: Final answer
    x = 270,788.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.